A+ CATEGORY SCIENTIFIC UNIT

A note on Sinnott's index formula

Volume 82 / 1997

Kazuhiro Dohmae Acta Arithmetica 82 (1997), 57-67 DOI: 10.4064/aa-82-1-57-67

Abstract

Let k be an (imaginary or real) abelian number field whose conductor has two distinct prime divisors. We shall construct a basis for the group C of circular units in k and compute the index of C in the group E of units in k. This result is a generalization of Theorem 3.3 in a previous paper [1].

Authors

  • Kazuhiro Dohmae

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